About the phase space of SL(3) Black Holes

Abstract

In this note we address some issues of recent interest, related to the asymptotic symmetry algebra of higher spin black holes in $sl(3,\mathbb{R})\times sl(3,\mathbb{R})$ Chern Simons (CS) formulation. We compute the fixed time Dirac bracket algebra that acts on two different phase spaces. Both of these spaces contain black holes as zero modes. The result for one of these phase spaces is explicitly shown to be isomorphic to $W_3^{(2)}\times W_3^{(2)}$ in first order perturbations.

improved presentation

References in corpus (4)

• Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields
• Nonlinear W(infinity) Algebra as Asymptotic Symmetry of Three-Dimensional Higher Spin Anti-de Sitter Gravity
• Generalized Black Holes in Three-dimensional Spacetime
• Black Holes in the 3D Higher Spin Theory and Their Quasi Normal Modes

Cited by in corpus (1)

• Higher Spin Black Holes with Soft Hair